矩阵求逆c语言程序_用C和C ++程序查找矩阵的逆

素颜马尾好姑娘i 2022-12-07 14:00 210阅读 0赞

![285e3e74ed8a0f07099fe012352e6edd.png][]

矩阵求逆c语言程序

Here you will get C and C++ program to find inverse of a matrix.

在这里，您将获得C和C ++程序来查找矩阵的逆。

We can obtain matrix inverse by following method.

我们可以通过以下方法获得矩阵逆。

*  First calculate deteminant of matrix.
    
    首先计算矩阵的确定性。
 *  Then calculate adjoint of given matrix. Adjoint can be obtained by taking transpose of cofactor matrix of given square matrix.
    
    然后计算给定矩阵的伴随。 可以通过对给定方矩阵的辅因子矩阵进行转置来获得伴随。
 *  Finally multiply 1/deteminant by adjoint to get inverse.
    
    最后，将1 /确定数与伴随数相乘得到逆。

The formula to find inverse of matrix is given below.

查找矩阵逆的公式如下。

![Matrix Inverse Formula][]

You can watch below video to learn how inverse is calculated.

您可以观看下面的视频，以了解如何计算逆。

In below program I have calculated the inverse of 3×3 matrix.

在下面的程序中，我计算了3×3矩阵的逆。

## 查找矩阵逆的C程序 **(**C Program to Find Inverse of a Matrix**)** ##

#include<stdio.h>
      
     int main(){
     	int mat[3][3], i, j;
     	float determinant = 0;
     	
     	printf("Enter elements of matrix row wise:\n");
     	for(i = 0; i < 3; i++)
     		for(j = 0; j < 3; j++)
                scanf("%d", &mat[i][j]);
     	
     	printf("\nGiven matrix is:");
     	for(i = 0; i < 3; i++){
     		printf("\n");
     		
     		for(j = 0; j < 3; j++)
     			printf("%d\t", mat[i][j]);
     	}
     	
     	//finding determinant
     	for(i = 0; i < 3; i++)
     		determinant = determinant + (mat[0][i] * (mat[1][(i+1)%3] * mat[2][(i+2)%3] - mat[1][(i+2)%3] * mat[2][(i+1)%3]));
     	
     	printf("\n\ndeterminant: %f\n", determinant);
     	
     	printf("\nInverse of matrix is: \n");
     	for(i = 0; i < 3; i++){
     		for(j = 0; j < 3; j++)
     			printf("%.2f\t",((mat[(j+1)%3][(i+1)%3] * mat[(j+2)%3][(i+2)%3]) - (mat[(j+1)%3][(i+2)%3] * mat[(j+2)%3][(i+1)%3]))/ determinant);
     		
     		printf("\n");
     	}
      
        return 0;
     }

## 查找矩阵逆的C ++程序 **(**C++ Program to Find Inverse of a Matrix**)** ##

#include<iostream>
      
     using namespace std;
      
     int main(){
     	int mat[3][3], i, j;
     	float determinant = 0;
     	
     	cout<<"Enter elements of matrix row wise:\n";
     	for(i = 0; i < 3; i++)
     		for(j = 0; j < 3; j++)
                cin>>mat[i][j];
     	
     	printf("\nGiven matrix is:");
     	for(i = 0; i < 3; i++){
     		cout<<"\n";
     		
     		for(j = 0; j < 3; j++)
     			cout<<mat[i][j]<<"\t";
     	}
     	
     	//finding determinant
     	for(i = 0; i < 3; i++)
     		determinant = determinant + (mat[0][i] * (mat[1][(i+1)%3] * mat[2][(i+2)%3] - mat[1][(i+2)%3] * mat[2][(i+1)%3]));
     	
     	cout<<"\n\ndeterminant: "<<determinant;
     	
     	cout<<"\n\nInverse of matrix is: \n";
     	for(i = 0; i < 3; i++){
     		for(j = 0; j < 3; j++)
     			cout<<((mat[(j+1)%3][(i+1)%3] * mat[(j+2)%3][(i+2)%3]) - (mat[(j+1)%3][(i+2)%3] * mat[(j+2)%3][(i+1)%3]))/ determinant<<"\t";
     		
     		cout<<"\n";
     	}
      
        return 0;
     }

**Output**

**输出量**

![用C和C ++程序查找矩阵的逆][C_C]

> 翻译自: [https://www.thecrazyprogrammer.com/2017/02/c-c-program-find-inverse-matrix.html][https_www.thecrazyprogrammer.com_2017_02_c-c-program-find-inverse-matrix.html]

矩阵求逆c语言程序

[285e3e74ed8a0f07099fe012352e6edd.png]: /images/20221123/bf31fb89b5294adfb54673d186c32b85.png
[Matrix Inverse Formula]: /images/20221123/0d140571944e489e93afffccc1b6f57e.png
[C_C]: /images/20221123/3f753f0786a7430f83dbd43e08b7e1e8.png
[https_www.thecrazyprogrammer.com_2017_02_c-c-program-find-inverse-matrix.html]: https://www.thecrazyprogrammer.com/2017/02/c-c-program-find-inverse-matrix.html